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Finding the Third Proportional to 389,110 and 852,033.50

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Solution

The third proportional to 389,110 and 852,033.50 is: 1,865,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,110 : 852,033.50 = 852,033.50 : x
  2. Step 2: Convert to fraction form
    389,110/852,033.50 = 852,033.50/x
  3. Step 3: Cross multiply
    389,110x = 852,033.50 × 852,033.50
  4. Step 4: Simplify right side
    389,110x = 725,961,085,122.25
  5. Step 5: Solve for x
    x = 725,961,085,122.25/389,110
  6. Step 6: Final answer
    x = 1,865,696.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.